Part DAfter how many days of visiting the pool with the special offer will it be a better deal? How can you tellalgebraically? How can you see this graphically? Justify your answer.Double tap to add text
Answers
After 11 days
when the number of days was more than 10, the price for the special offer was less than the full price
Explanation:
Part D
From the previous information:
The equation for the full price:
y = 7x
The equation for the special offer:
y = 4x + 30
For the special offer to be a better deal, we need to equate both equations above:
y = y
7x = 4x + 30
subtract 4x from both sides:
7x - 4x = 4x - 4x + 30
3x = 0 + 30
3x = 30
divide both sides by 3:
3x/3 = 30/3
x = 10
let's check which days make it better:
we go for a day before 10; 10; and a day after 10
x = 9, 10, 11
for x = 9
y = 7x = 7(9) = 63
y = 4x + 30 = 4(10) + 30 = 70
for x = 10
y = 7(10) = 70
y = 4x + 30 = 4(10) + 30 = 70
for x = 11
y = 7(11) = 77
y = 4(11) + 30 = 74
From the above, when the days is 11 the cost for the special offer is lees than the cost for the full price.
Hence, the special offer will be a better deal on the 11th day
This can be seen graphically when you plot both equation.
The point where they meet will be the point where the cost will be the same for both the special offer and the full price.
This is at point (10, 70).
After this point: when the number of days was more than 10, the price for the special offer was less than the full price.
Thus making it a beter deal.
Related Questions
I dont quite understand, nor do I understand how calculate the interest rate
Answers
We have a compounded monthly interest, the formula for compounded interest is
\(A=P\mleft(1+\frac{i}{n}\mright)^{nt}\)The tricky part is the "n", when it's compounded monthly we must do n = 12.
The other variables are
t - time
i - rate per year
P - principal
A - accrued amount
Looking at the problem we can identify that
t = 3 years
i = 0.0525 per year
P = ?
A = $3350
Then, if we put it at the formula we get
\(\begin{gathered} A=P\mleft(1+\frac{i}{n}\mright)^{nt} \\ \\ 3350=P\mleft(1+\frac{0.0525}{12}\mright)^{12\cdot3} \\ \\ 3350=P(1.004375)^{36} \\ \\ 3350=P\cdot1.17017 \\ \\ P=\frac{3350}{1.17017} \\ \\ P=\$2862.81 \end{gathered}\)Jason borrowed $2862.81
The variable whose value depends on the input is the ___.
Answers
Answer:
coefficent
Step-by-step explanation:
can someone please help me
Answers
Answer:
The error is located in step 9, because the student made the following operation: \((-4)\cdot (-r) = -4\cdot r\), instead of \((-4)\cdot (-r) = 4\cdot r\), presented in step 4) of our demonstration. The real solution is 9.
Step-by-step explanation:
First, we proceed to show the appropriate process to solve the equation for \(r\) by algebraic means. That is:
1) \(-4\cdot (6-r) = 12\) Given
2) \((-4)\cdot [6+(-r)] = 12\) Definition of substraction
3) \((-4)\cdot (6) +(-4)\cdot (-r) = 12\) Distributive property
4) \((-24) +4\cdot r = 12\) \((-a)\cdot b = -a\cdot b\)/\((-a)\cdot (-b) = a\cdot b\)
5) \(4\cdot r +[24+(-24)] = 12 +24\) Compatibility with addition/Commutative and associative properties
6) \(4\cdot r = 36\) Existence of additive inverse/Modulative property
7) \(r\cdot (4\cdot 4^{-1}) = 36\cdot 4^{-1}\) Compatibility with multiplication/Commutative and associative properties
8) \(r = 9\) Existence of multiplicative inverse/Definition of division/Result
The error is located in step 9, because the student made the following operation: \((-4)\cdot (-r) = -4\cdot r\), instead of \((-4)\cdot (-r) = 4\cdot r\), presented in step 4) of our demonstration. The real solution is 9.
Yolanda used her graphing calculator to graph y= 3x. Her graph is shown at right. Do you think she
did it correctly? Explain.
Answers
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due to line spoilage and 3% involve both problems. (a) Are the two types of spoilages independent or not? Justify your answer. (b) What is the probability that: i- line spoilage given that there is transformer spoilage ii- Transformer spoilage but not line spoilage. iii- Transformer spoilage given that there is no line spoilage iv- Neither transformer spoilage nor there is no line spoilage v- Either transformer spoilage or there is no line spoilage
Answers
Answer:
The events are independent.Their conditional probability is equal to the probability of an event .
2) The probability that there is line spoilage given that there is transformer spoilage=0.08
- Transformer spoilage but not line spoilage=0.046
Transformer spoilage given that there is no line spoilage = 0.05
- Neither transformer spoilage nor there is no line spoilage =0.03
v- Either transformer spoilage or there is no line spoilage = 0.97
Step-by-step explanation:
Let A be an event that the spoilage is due to transformers so
P(A) = 5% = 5/100 or 0.05
Let B be an event that the spoilage is due to line so
P(B) = 8% = 8/100 or 0.08
Let C be an event that the spoilage is due to both then
P(C) = 3% = 3/100 or 0.03
1) Independence
For events to be independent their joint probability is given by
P(A) = P(A∩B)/ P (B) By Law of independence
P(A∩B)= P(A/B)P(B)
P(A∩B) = 5/100 *8/100=40/10000= 4/1000
P(A) = 5/100
P(A/B) =P(A∩B)/ P (B)
= 4/1000/8/100= 1/20
P(A)= P(A/B)
5/100 is equal to 1/20
The events are independent.Their conditional probability is equal to the probability of an event
2) The probability that there is line spoilage given that there is transformer spoilage
P(B/A)= P(A∩B)/ P (A) = 4/1000/5/100= 4/50= 2/25=0.08
Which is again equal to probability of event B.
- Transformer spoilage but not line spoilage
P(A∩1-B)= 5/100*92/100= 460/10000=0.046
Transformer spoilage given that there is no line spoilage
P(A/1-B) =P(A∩1-B)/ P (1-B)
= 5/100*92/100/92/100= 5/100 = 0.05
- Neither transformer spoilage nor there is no line spoilage
1-P(A) +P(1-B)= 1-(5/100+92/100)= 3/100= 0.03
v- Either transformer spoilage or there is no line spoilage
P(A)+P(1-B)= 5/100+92/100= 97/100= 0.97
Is this one correct? Let me know please
Answers
Answer:
linear dimensions: 2 : 7areas: 4 : 49volumes: 8 : 343Step-by-step explanation:
You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.
AreaThe ratio of areas is the square of the similarity ratio:
2² : 7² = 4 : 49
VolumeThe ratio of volumes is the cube of the similarity ratio:
2³ : 7³ = 8 : 343
__
Additional comment
It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.
side length of a square or cube: smaller: 2", larger: 7"
area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²
volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³
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50 Points!!! Solve each inequality. Then graph the solution set on a number line. Photo attached
Answers
50
Step-by-step explanation:
plot it on the number line
The data set +4 -1 -2 0 shows a change in number of state representatives for four states after the last census. Graph the change in number of representatives. Explain the meaning of zero in this situation.
Answers
The data set is
(4,-1)(-2,0)0 means it reached end.
Let's graph
\(\\ \tt\longmapsto m=\dfrac{0+1}{-2-4}=\dfrac{1}{-6}\)
Equation of line in point slope form
\(\\ \tt\longmapsto y+1=-1/6(x-4)\)
\(\\ \tt\longmapsto -y-1=1/6(x-4)\)
\(\\ \tt\longmapsto -6y-6=x-4\)
\(\\ \tt\longmapsto x+6y+2=0\)
Graph attached
PLZ HELP!!! BRAINLY GUARANTEED
Which set represents the domain of the function?
{x|x≥3}
{x|x≥−2}
{x|x≥0}
{x|x≥−3}
Answers
The x value’s lowest input in -3, and the function goes to the right, meaning it is greater than -3
Use the distributive property to multiply.
(3y + 2)(3y2 + 4y - 2)
Answers
Answer:
(3y + 2)(3y² + 4y - 2) = 9y³ + 18y² + 2y - 4.
Step-by-step explanation:
(3y + 2)(3y² + 4y - 2)
Break it up into two seperate equations.
(3y(3y² + 4y - 2)) + ((2)(3y² + 4y - 2))
Distribute the 3y into the equation.
(9y³ + 12y² - 6y) + ((2)(3y² + 4y - 2))
Distribute the 2 into the equation.
(9y³ + 12y² - 6y) + (6y² + 8y - 4)
Combine like terms.
9y³ + 12y² + 6y² - 6y + 8y - 4
9y³ + 18y² + 2y - 4.
What is the approximate length of side GF in triangle EFG?
Answers
Answer:
41.93 degrees
Step-by-step explanation:
What are the different methods in finding the zeros of the function?; How do you find the factor of a higher degree polynomial?; How do you factor and find all zeros of a polynomial?; How do you solve high degree polynomial functions?
Answers
The different methods of finding the zeros of a polynomial are:
Evaluate a polynomial using the Remainder Theorem.Use the Linear Factorization Theorem to find polynomials with given zeros.Solve real-world applications of polynomial equations.Use synthetic division to find the zeros of a polynomial function.Use the Fundamental Theorem of Algebra to find complex zeros of a polynomial function.Use the Rational Zero Theorem to find rational zeros.Use Descartes’ Rule of Signs to determine the maximum number of possible real zeros of a polynomial function.Use the Factor Theorem to solve a polynomial equation.One of the methods for finding zeros and factors of higher-degree polynomial functions is using the Remainder theorem.
How to factor and find the zeroes of the polynomial:
Step 1:- Set your first factor equal to zero and solve. The value you get when you solve is one of your zeros. If your factor includes a variable square, it may result in no solution or two solutions.
Step 2:- Continue to set your factors equal to zero and solve until you have done this to all of the factors in your factored form polynomial.
Step 3:- List down all of the zeros of your polynomial.
To solve higher-degree equations, we can use substitution to convert the given equation into a quadratic equation, then solve the quadratic equation to determine the solutions to the original equation.
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I’ll give BRAINLIEST if correct
Answers
Answer:
a,b
Step-by-step explanation:
Can you plz help me simplify 4 over 12
Answers
Answer:
1/3
Step-by-step explanation:
4/12÷4÷4=1/3
The answer is 1/3 or 0.333...
Answer: the answer is 1 over 3
Step-by-step explanation:
There are seven green apples and five red apples in a basket. What is the ratio of apples in the basket to red apples? What is the ratio of all apples in the basket to green apples?
Answers
Total Apples : Red Apples = 12:5
Total Apples : Green Apples = 12:7
Answer: 12:5
Step-by-step explanation:
Total apples in the basket, add all apples: 7+5=12
Red apples:5
Total apples:red apples, 12:5
Easy 20 points !!!!! Please help
Solve for u
5u + 8= -7
Answers
Answer:
Step-by-step explanation:
5u + 8 = - 7
5u = - 7 - 8
5u = - 15
u = -15/5
u = - 3
Magela is modeling 2.56/4. How should she exchange the place-value blocks so she can make 4 equal shares?
Answers
Answer:
i think you could......
Step-by-step explanation:
Jacob stated that he solved the equation 2x + 3 = 5 using the addition and multiplication property of equality. Which statement is true
Answers
Answer: First one
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
Factors of 33: 1,3,10,33
Step-by-step explanation:
So what whole numbers could divide 33?
first 33.
33/33=1
So 33 and 1 are factors
now what else can divide 33?
3.
33/3=11
So 3 and 11 are factors
use traces to sketch the surface. (if an answer does not exist, enter dne. select update graph to see your response plotted on the screen. select the submit button to grade your response.) 9x2 y2 9z2
Answers
In order to accurately represent the surface, we would need to be able to plot the equation in 3-dimensions using 3-dimensional coordinates. Since this is not possible, the answer is dne.
In order to accurately represent the surface, we would need to be able to plot the equation in 3-dimensions using 3-dimensional coordinates. Since this is not possible, the answer is dne.
dne
Since 9x2 y2 9z2 is a 3-dimensional equation, it cannot be sketched on a 2-dimensional plane. Therefore, the answer is dne.
The equation 9x2 y2 9z2 is a 3-dimensional equation and cannot be represented on a 2-dimensional plane. Therefore, it is not possible to sketch the surface using this equation. As a result, the answer is dne. The equation contains three variables, x, y and z, and cannot be represented on a graph without the use of three axes. In order to accurately represent the surface, we would need to be able to plot the equation in 3-dimensions using 3-dimensional coordinates. Since this is not possible, the answer is dne.
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Kim has a new job. She decided to follow this savings plan: Month Dollars
1 - 65
2 - 72
3 -79
4 - 86
5 93
6 -100
7 - ?
Answers
Step-by-step explanation:
For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)
Hence at Month 7, there will be 100 + 7 = 107 dollars.
Answer:
107 dollors
Step-by-step explanation:
For every month, It increase 7 dollars, So it would be 107 bdollors
Select the correct answer. What is the solution to this equation? 9^x-1=2
Answers
Answer: 1/2
Step-by-step explanation:
pls help me here pls I need answers ty
Answers
2)
Answer: 87 liters
Explanation:
1 m^23 = 0.001 L
87000 cm^3 = 87000 * 0.001
= 87 liters
HELP PLZ A circle inscribed in a triangle:
Answers
Answer:
The answer is the second photo.
Step-by-step explanation:
It's literally a circle in a triangle. So, it's the second one.
Robin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers.
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?
Answers
Answer:
Part A :
Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.
Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.
Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri
Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.
Explanation :
I have calculated out Robins and Dimitris subscribers counts with math.
Part A: The attached image is for Robin but I didn't have time for Dimitri.
Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.
Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.
Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.
Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.
round 8.78911981582 to the nearest millionth
Answers
Answer:
8.789120
(you have to include the zero, or else the answer would no longer be the nearest millionth! and you would be marked wrong)
The required answer would be 8.789120 which is round to the nearest millionth.
What are the upper and lower bounds of an approximation?The numerical value that is rounded up to represent the supplied value's next value serves as its upper bound.
The numerical number that is rounded off for the previous value or the predicted value of the provided value is the lower bound for the supplied value.
We have been given number as
⇒ 8.78911981582
We have to round 8.78911981582 to the nearest millionth
⇒ 8.789120
The result would no longer be the nearest millionth if didn't add the zero.
Therefore, the required answer would be 8.789120.
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1
A red die is tossed and then a green. die is tossed.
What is the probability that the red die shows a
number larger than 4 or the green die shows a
number less than 2?
The two events are not mutually exclusive. So to find the
probability of the union, use:
P(A or B) = P(A) + P(B) - P(A and B)
[?]
P(A or B)
=
8
P(B)
Green die
What is the probability of the red die rolling a
P(A)
Red die
+
-
8)
P(B)
P(A)
Red die Green die
number greater than 4?
Enter your answer in simplest form.
Enter
Answers
On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667
What is probability?A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.
red die, there are 3 numbers greater than 3 out of 6 numbers
Probability (A) = 3/6 = 1/2.
green die, there are 2 numbers less than 3 out of 6 numbers
Probability (B) = 2/6 = 1/3.
events are independent
P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)
16.67% probability = 0.1667
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hi im doing homework i hate i-ready so yea can someone answer this please?
Answers
Weight of Omar after 4 weeks is 9.4375 pounds.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Weight of Omar at the time of birth = 8 pound 3 ounces
Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces
New weight of Omar
= (8 lb 3 ounces) + 20 ounces
= 8 lb + 23 oz
As, we know 16 ounces = 1 pound
23 ounces = 1.4375 pound
Now, total weight of Omar after 4 weeks = 8 lb + 23 oz
≈ 8 lb + (1.4375) lb
≈ 9.4375 pounds
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Select all of the following tables which represent y as a function of x
.
Answers
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
what is the slope of line p? (Must reduce fraction) *
-3/2
3/2
9/4
- 2/3
Answers
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope
Solution: 3/2